6336380160 has 432 divisors, whose sum is σ = 24703031808. Its totient is φ = 1485619200.

The previous prime is 6336380159. The next prime is 6336380207. The reversal of 6336380160 is 610836336.

6336380160 is a `hidden beast` number, since 6 + 3 + 3 + 638 + 0 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3927514 + ... + 3929126.

It is an arithmetic number, because the mean of its divisors is an integer number (57182944).

Almost surely, 2^6336380160 is an apocalyptic number.

6336380160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6336380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12351515904).

6336380160 is an abundant number, since it is smaller than the sum of its proper divisors (18366651648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6336380160 is a wasteful number, since it uses less digits than its factorization.

6336380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 6336380160 is about 79601.3829025602. The cubic root of 6336380160 is about 1850.4630114530.

The spelling of 6336380160 in words is "six billion, three hundred thirty-six million, three hundred eighty thousand, one hundred sixty".